GCD of 892, 787, 20, 242 Calculator

Given Input numbers are 892, 787, 20, 242

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 787

List of positive integer divisors of 787 that divides 787 without a remainder.

1, 787

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 242

List of positive integer divisors of 242 that divides 242 without a remainder.

1, 2, 11, 22, 121, 242

Greatest Common Divisior

We found the divisors of 892, 787, 20, 242 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 892, 787, 20, 242 is 1.

Therefore, GCD of numbers 892, 787, 20, 242 is 1

Given Input Data is 892, 787, 20, 242

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 787 is 787

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 242 is 2 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(892, 787) = 702004

GCD(892, 787) = ( 892 x 787 ) / 702004

GCD(892, 787) = 702004 / 702004

GCD(892, 787) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 242

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 242) = 242

GCD(1, 242) = ( 1 x 242 ) / 242

GCD(1, 242) = 242 / 242

GCD(1, 242) = 1

GCD of 892, 787, 20, 242 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 941, 235, 64, 771
• GCD of 922, 320, 82, 557
• GCD of 220, 554, 26, 247
• GCD of 516, 590, 29, 330
• GCD of 476, 864, 78, 650

1. What is the GCD of 892, 787, 20, 242?

GCD of 892, 787, 20, 242 is 1

2. Where do I get the detailed procedure to find GCD of 892, 787, 20, 242?

You can find a detailed procedure to find GCD of 892, 787, 20, 242 on our page.

3. How to find GCD of 892, 787, 20, 242 on a calculator?

You can find the GCD of 892, 787, 20, 242 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.